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Finding the Fourth Proportional to 1,356.64, 2,034.84 and 479.02

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Solution

The fourth proportional to 1,356.64, 2,034.84 and 479.02 is: 718.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.64 : 2,034.84 = 479.02 : x
  2. Step 2: Convert to fraction form
    1,356.64/2,034.84 = 479.02/x
  3. Step 3: Cross multiply
    1,356.64x = 2,034.84 × 479.02
  4. Step 4: Simplify right side
    1,356.64x = 974,729.06
  5. Step 5: Solve for x
    x = 974,729.06/1,356.64
  6. Step 6: Final answer
    x = 718.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.